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 A077257 Differences between two successive prime powers of prime numbers (A076707) in more than one way. 2
 4, 168, 312, 600, 768, 792, 912, 1848, 2472, 3048, 3192, 3288, 3528, 3720, 4008, 4920, 5160, 5208, 5928, 6072, 6792, 6840, 6888, 7080, 7512, 7728, 7800, 8520, 8760, 10632, 11400, 11880, 11928, 12792, 13200, 13440, 13560, 14280, 14640, 15960 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS EXAMPLE 4 = 8-4 = 125-121, 168 = 529-361 = 1849-1681, 312 = 841-529 = 1681-1369. It is interesting that 529 is a member of the last two examples. 6888 is the first one to be represented in just three ways. 4920 is the first one to be represented in four ways. MATHEMATICA pp = Sort[ Flatten[ Table[ Prime[n]^Prime[i], {n, 1, PrimePi[ Sqrt[10^16]]}, {i, 1, PrimePi[ Floor[ Log[ Prime[n], 10^16]]]}]]]; l = Length[pp]; b = Sort[ Take[pp, -l + 1] - Take[pp, l - 1]]; Union[ b[[ Select[ Range[355], b[[ # ]] == b[[ # + 1]] &]]]] CROSSREFS Cf. A053810, A075308, A076707, A077258. Sequence in context: A347719 A221654 A159011 * A278124 A024265 A302453 Adjacent sequences:  A077254 A077255 A077256 * A077258 A077259 A077260 KEYWORD nonn AUTHOR Zak Seidov and Robert G. Wilson v, Oct 31 2002 STATUS approved

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Last modified December 2 17:48 EST 2021. Contains 349445 sequences. (Running on oeis4.)